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SLOSHING IN A T-BAFFLED RECTANGULAR STORAGE TANK 15
NUMERICAL STUDY FOR 2–D PROBLEMS

how the height of the baffle relative to the initial liquid depth with horizontal baffles affects
liquid sloshing. The T- baffle is located at the center of the bottom of the tank. Thus, this study
provides an investigation of the free surface elevation according to the baffles and the pressure
distributions on the tank wall.

2. Mathematical formulation and numerical approach

The fluid is assumed to be homogenous, isotropic, viscous and Newtonian. Tank and fluid
motions are assumed to be two-dimensional. The domain considered here is a rigid rectangular
container partially filled with liquid, as shown in Fig. 1.

6 cm 6 cm
T4 Wave probe

9.6 cm T3 62 cm
39 cm T2 h

Transducer

T1 hB
6 cm

92 cm

Figure 1. Schematic diagram of the pressure transducers and baffle configuration.

The governing equations are solved simultaneously with the corresponding boundary conditions
and free surface kinematics and dynamic boundary conditions in the fluid domain.

U(u,v)  0 (1)

U  U  U   1  P  F 2U (2)
t 

where U(u, v) is the velocity vector defined in the tank fixed coordinate and, , P,  and F are

the liquid density, pressure, kinematic viscosity and external forces respectively.

In order to include the non-linearity and avoid the complex boundary conditions of moving
walls, the moving coordinate system is used. The origin of the coordinate system is at the
position of the center plane of the tank and on the undisturbed free surface. The moving
coordinate is translating and rotating relative to an inertial system which can be used to
represent general roll or pitch of the tank.

The external force consists of gravitational forces, the translational and rotational inertia forces,
which can be written as,

Sayı 1, 2014 GiDB|DERGi